Complex Langevin dynamics at finite chemical potential: Mean field analysis in the relativistic Bose gas - INSPIRE

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Complex Langevin dynamics at finite chemical potential: Mean field analysis in the relativistic Bose gas

Gert Aarts
(
- Swansea U.
)

Feb, 2009

20 pages

Published in:

JHEP 05 (2009) 052

e-Print:

0902.4686 [hep-lat]

DOI:

10.1088/1126-6708/2009/05/052

View in:

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Abstract: (arXiv)

Stochastic quantization can potentially be used to simulate theories with a complex action due to a nonzero chemical potential. We study complex Langevin dynamics in the relativistic Bose gas analytically, using a mean field approximation. We concentrate on the region with a Silver Blaze problem and discuss convergence, stability, fixed points, and the severeness of the sign problem. The real distribution satisfying the extended Fokker-Planck equation is constructed and its nonlocal form is explained. Finally, we compare the mean field results in finite volume with the numerical data presented in Ref. [1].

Note:

20 pages, 6 eps figures, discussion on the severeness of the sign problem added, to appear in JHEP

potential: chemical
boson: gas
quantization: stochastic
mean field approximation
Fokker-Planck equation
fixed point
stability
gas: relativistic
action: complex
Langevin equation

References(44)

Figures(0)

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